What is the Greatest Common Factor of 82965 and 82980?

Greatest common factor (GCF) of 82965 and 82980 is 15.

GCF(82965,82980) = 15

We will now calculate the prime factors of 82965 and 82980, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82965 and 82980.

How to find the GCF of 82965 and 82980?

We will first find the prime factorization of 82965 and 82980. After we will calculate the factors of 82965 and 82980 and find the biggest common factor number .

Step-1: Prime Factorization of 82965

Prime factors of 82965 are 3, 5, 5531. Prime factorization of 82965 in exponential form is:

82965 = 3¹ × 5¹ × 5531¹

Step-2: Prime Factorization of 82980

Prime factors of 82980 are 2, 3, 5, 461. Prime factorization of 82980 in exponential form is:

82980 = 2² × 3² × 5¹ × 461¹

Step-3: Factors of 82965

List of positive integer factors of 82965 that divides 82965 without a remainder.

1, 3, 5, 15, 5531, 16593, 27655

Step-4: Factors of 82980

List of positive integer factors of 82980 that divides 82965 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 461, 922, 1383, 1844, 2305, 2766, 4149, 4610, 5532, 6915, 8298, 9220, 13830, 16596, 20745, 27660, 41490

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82965 and 82980. The biggest common factor number is the GCF number.
So the greatest common factor 82965 and 82980 is 15.

Also check out the Least Common Multiple of 82965 and 82980